In this paper, the effects of both rotation and magnetic field of the peristaltic transport of fluid through a porous medium in a channel are studied analytically and computed numerically. The material was represented by the constitutive equations for a fluid. Closed-form solutions under the consideration of long wavelength and low-Reynolds number is presented. The analytical expressions for the pressure gradient, pressure rise, friction force, stream function, shear stress and velocity are obtained in the physical domain. Effect of the non-dimensional wave amplitude, porosity, magnetic field, rotation, the ratio of relaxation to retardation times and the dimensionless time-mean flow in wave frame are analyzed theoretically and computed numerically. Numerical results are given and illustrated graphically in each case considered. Comparison was made with the results obtained in the presence and absence of rotation, magnetic field and porosity. The results indicate that the effect of the non-dimensional wave amplitude, porosity, magnetic field, rotation, the ratio of relaxation to retardation times and the dimensionless time-mean flow are very pronounced in the phenomena.